IGCSE Mathematics (0980) — May–June 2025, Paper 32

24 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.

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Question 1 · 1 mark · Time

Write 3.45 pm using the 24-hour clock.

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Question 2 · 2 marks · Properties of solids

The diagram shows a square-based pyramid. Complete this statement. The pyramid has ............................. edges and ............................. vertices.

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Question 3 · 1 mark · Units and conversions

Convert 3 m into mm.

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Question 4 · 4 marks · Money and finance

Apples cost $1.20 per kilogram and one banana costs 35 cents. Work out the total cost, in dollars, of 3 kg of apples and 7 bananas.

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Question 5 · 1 mark · Percentages

A student scores 58 out of 80 in a test. Calculate their percentage score.

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Question 6 · 2 marks · Percentages

Calculate 57% of 45.

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Question 7 · 2 marks · Time

A train leaves station A at 13 44. The train arrives at station B after 3 hours and 30 minutes. Work out the time the train arrives at station B.

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Question 8 · 3 marks · Money and finance

The exchange rate is $1 = 0.923 euros. Calculate the difference between 750 euros and $846. Give your answer in euros correct to 2 decimal places.

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Question 9 · 4 marks · Probability

Flo has a bag of counters. She picks a counter at random from the bag. The probability that she picks a green counter is 0.52 . Work out the probability that she does not pick a…

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Question 10 · 5 marks · Angle properties of circles

A, B and C are points on a circle, centre O, diameter AC. Complete these statements, giving geometrical reasons. The value of x is ......................... because…

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Question 11 · 2 marks · Scale drawing and bearings

The scale drawing shows the position of a hospital, H. The scale is 1 centimetre represents 6 kilometres. A school, S, is 33 km from H on a bearing of 155°. Mark the position of S…

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Question 12 · 7 marks · Statistical diagrams

Kim and Tom ask some students if they prefer Chemistry, Biology or Physics. Kim draws the bars for Biology and Physics on a bar chart. The Biology bar has height 9 and the Physics…

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Question 13 · 5 marks · Sequences

The sequence begins: 2, e, f, 20, … A linear sequence has a first term of 2 and a fourth term of 20. The term-to-term rule for this sequence is add k. Work out the values of e, f…

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Question 14 · 4 marks · Algebraic substitution

P = 6a + 5b Find the value of b when P = 25 and a = 3.

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Question 15 · 2 marks · Coordinate geometry

The equation of a line is y = −5x + 7. Write down the gradient of this line.

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Question 16 · 4 marks · Ratio and proportion

Sam spends $187 on electricity and gas. The ratio electricity : gas = 8 : 3. Work out how much Sam spends on electricity.

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Question 17 · 3 marks · Money and finance

Rick invests $6000 for 5 years at a rate of 9% per year compound interest. Calculate the total interest earned during the 5 years.

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Question 18 · 4 marks · Compound units

A factory produces brass at a rate of 172 kilograms per hour. Convert this rate into grams per second.

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Question 19 · 2 marks · Standard form

Write 0.000 000 0347 in standard form.

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Question 20 · 3 marks · Linear equations

Solve. x + 3 = 3

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Question 21 · 3 marks · Indices

Simplify. (w^3)^10

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Question 22 · 7 marks · Algebraic manipulation

In this question, all lengths are in centimetres. The diagram shows a right-angled triangle with sides 2x − 5, 2x + 2 and 4x − 9. Write down an expression, in terms of x, for the…

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Question 23 · 4 marks · Mensuration (volume)

A sphere has radius 8 cm. A cone has radius 8 cm and height h. The sphere and the cone have the same volume. Work out the height, h, of the cone.

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Question 24 · 5 marks · Pythagoras and trigonometry

The diagram shows two right-angled triangles. In triangle ABD, angle ADB = 90°, AB = 14.7 m and AD = 10.8 m. BD is vertical. In triangle BDC, angle DBC = 90°, BC = d m and angle…

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← May–June 2025 Paper 42 · May–June 2025 Paper 22 →

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